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Factor.
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Q. Factor.
- Check Pattern: Determine if the quadratic expression is a perfect square trinomial.A perfect square trinomial is in the form . We need to check if fits this pattern. is a perfect square, as . is a perfect square, as .The middle term, , should be twice the product of the square roots of the first and last terms if the expression is a perfect square trinomial., which matches the middle term.So, the expression is a perfect square trinomial.
- Write as Binomial: Write the expression as a square of a binomial.Since we have identified that is a perfect square trinomial, it can be written as the square of a binomial.The square root of is , and the square root of is .The expression can be written as .
- Verify Factored Form: Check the factored form for any possible errors.To verify, we can expand to ensure it gives us the original expression.The expanded form matches the original expression, confirming that the factoring is correct.
